Page 150 - Cambridge+Checkpoint+Mathematics+Coursebook+9

15.4 Calculating with prisms and cylinders

3 Work out the volume and surface area of each prism.
a b c 13 cm
10 cm
5 cm 14 cm
6 cm 9.5 cm 5 cm 15.4 cm
7 cm
16 cm 12 cm
4 Work out the volume and surface area of each cylinder.
Give your answers correct to one decimal place (1 d.p.).
a 5 cm b 2.5 cm c 20 mm

12 cm 14 mm
18 cm

5 Copy and complete this table. Give your answers correct to two decimal places (2 d.p).

Radius of circle Area of circle Height of cylinder Volume of cylinder

a 2.5 m m 2 4.2 m m 3

b 6 cm cm 2 cm 507 cm 3

c m 20 m 2 2.5 m m 3

d mm mm 2 16 mm 1044 mm 3

6 Each of these prisms has a volume of 256 cm .
3
Work out the length marked x in each diagram. Give your answers correct to one decimal
place (1 d.p.).

a b c x cm

3.8 cm 12.3 cm x cm 18.2 cm
x cm 12.4 cm
9.8 cm

Summary

You should now know that: You should be able to:
2
2
+ 1 cm = 100 mm 1 m = 10 000 cm 2 + Convert between metric units of area and volume;
2
1 cm = 1000 mm 1 m = 1 000 000 cm 3 know and use the relationship 1 cm = 1 ml.
3
3
3
3
1 cm = 1 ml + Know that land area is measured in hectares (ha);
3
+ 1 hectare = 10 000 m 2 convert between hectares and square metres.
+ A prism is a 3D shape that has the same cross- + Solve problems involving the circumference and
section along its length. area of circles, including by using the ‘π’ button on
+ Volume of a prism = area of cross-section × length a calculator.
+ Surface area of a prism = sum of the areas of all + Calculate lengths, surface areas and volumes in
the faces right-angled prisms and cylinders.
2
+ Volume of a cylinder = πr h
15 Area, perimeter and volume 149